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Some Improvements on Relativistic Positioning Systems

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Some Improvements on Relativistic Positioning Systems

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dc.contributor.author Fullana Alfonso, Màrius Josep es_ES
dc.contributor.author Saez Milán, Diego Pascual es_ES
dc.contributor.author Arnau, J.V. es_ES
dc.contributor.author Puchades Colmenero, Neus es_ES
dc.date.accessioned 2019-05-11T20:02:58Z
dc.date.available 2019-05-11T20:02:58Z
dc.date.issued 2018 es_ES
dc.identifier.uri http://hdl.handle.net/10251/120341
dc.description.abstract [EN] We make some considerations about Relativistic Positioning Systems (RPS). Four satellites are needed to position a user. First of all we define the main concepts. Errors should be taken into account. Errors depend on the Jacobian transformation matrix. Its Jacobian is proportional to the tetrahedron volume whose vertexes are the four tips of the receiver-satellite unit vectors. If the four satellites are seen by the user on a circumference in the sky, then, the Jacobian and the tetrahedron volume vanish. The users we consider are spacecraft. Spacecraft to be positioned cannot be close to a null Jacobian satellites-user configuration. These regions have to be avoided choosing an appropriate set of four satellites which are not seen too close to the same circumference in the sky. Errors also increase as the user spacecraft separates from the emission satellite region, since the tetrahedron volume decreases. We propose a method to autonomously potion a user-spacecraft which can test our method. This positioning should be compared with those obtained by current methods. Finally, a proposal to position a user-spacecraft moving far from Earth, with suitable devices (autonomous), is presented. es_ES
dc.description.sponsorship This work has been supported by the Spanish Ministry of Economía, Industria y Competitividad, MICINNFEDER project FIS2015-64552-P
dc.language Inglés es_ES
dc.publisher UP4 Institute of Sciences, S.L. es_ES
dc.relation.ispartof Applied Mathematics and Nonlinear Sciences es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Astronomy and Astrophysics es_ES
dc.subject Mathematical Physics es_ES
dc.subject General Relativity es_ES
dc.subject Relativistic Positioning Systems es_ES
dc.subject Numerical Methods es_ES
dc.subject 35Q85 es_ES
dc.subject 37M99 es_ES
dc.subject 83C05 es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Some Improvements on Relativistic Positioning Systems es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.21042/AMNS.2018.1.00012 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//FIS2015-64552-P/ES/RELATIVIDAD, COSMOLOGIA Y POSICIONAMIENTO/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Fullana Alfonso, MJ.; Saez Milán, DP.; Arnau, J.; Puchades Colmenero, N. (2018). Some Improvements on Relativistic Positioning Systems. Applied Mathematics and Nonlinear Sciences. 3(1):161-166. https://doi.org/10.21042/AMNS.2018.1.00012 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.21042/AMNS.2018.1.00012 es_ES
dc.description.upvformatpinicio 161 es_ES
dc.description.upvformatpfin 166 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 3 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 2444-8656 es_ES
dc.relation.pasarela S\373598 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES


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